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Home›Decision-making›Proximity-Adjusted WLC — spatially explicit weighted linear combination
MCDMRankingcrisp

Proximity-Adjusted WLC — spatially explicit weighted linear combination

PROXIMITY-WLC (Proximity-Adjusted WLC — spatially explicit weighted linear combination) is a ranking multi-criteria decision-making (MCDM) method introduced by Rinner, C.; Heppleston, A. in 2006. It turns a decision matrix of alternatives scored on multiple criteria into a structured, reproducible result.

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PROXIMITY-WLC
AHPANPBWMCRITICENTROPYFUCOMMERECSWARA

When to use it

V(A^p_i) reflects both criterion performance and spatial proximity to the reference location. An alternative far from the reference will have low proximity-adjusted weights — its criterion values count for very little in the aggregation even if they are high. This is by design: the method explicitly encodes a spatial preference bias toward the reference location. Always inspect the proximity-adjusted weight matrix (output G.proximity_adjusted_weights) to understand how spatial position is affecting the result.

Strengths & limitations

Strengths
  • Follows a transparent, reproducible computational procedure that can be audited step by step.
  • Handles multiple criteria of differing scales and units within a single decision matrix.
Limitations
  • May exhibit rank reversal when alternatives are added to or removed from the set.
  • Assumes full compensation — a strong score on one criterion can offset a weak score on another.

Sources

  1. Rinner, C., Heppleston, A. (2006). The spatial dimensions of multi-criteria evaluation — case study of a home buyer's spatial decision support system. Lecture Notes in Computer Science (GIScience 2006) DOI: 10.1007/11863939_22 ↗

How to cite this page

ScholarGate. (2026, June 2). Proximity-Adjusted WLC — spatially explicit weighted linear combination. ScholarGate. https://scholargate.app/en/decision-making/proximity-wlc

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AHPANPBWMCRITICENTROPYFUCOMMERECSWARA

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Similar methods

LOCAL-WLCLOCAL-OWASOWAOWAAPLOCOMulti-Criteria Site SelectionCODASGREY-PROMETHEE

Related reference concepts

Decision MakingDecision Support SystemsWeighted ScoresMultidimensional ScalingOther Spatial Production and Pricing AnalysisReserve Design and Systematic Conservation Planning

Spotted an issue on this page? Report or suggest a fix →

ScholarGate — PROXIMITY-WLC (Proximity-Adjusted WLC — spatially explicit weighted linear combination). Retrieved 2026-07-21 from https://scholargate.app/en/decision-making/proximity-wlc · Dataset: https://doi.org/10.5281/zenodo.20539026
Quick facts
Originator
Rinner, C.; Heppleston, A.
Subfamily
Ranking
Year
2006
Type
Spatially heterogeneous additive utility — criterion weights vary per alternative as a function of proximity to a reference location
Value Space
crisp
Uncertainty
None
Compensation
full
Rank Reversal
Yes
Related methods
AHPANPBWMCRITICENTROPYFUCOMMERECSWARA
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